Q: What are the prime factors of the number 356,336,136?

 A: 2, 3, 13, 61, 79

Why are those the prime factors of the number 356,336,136?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 356,336,136

356,336,136
Factor Arrows
2178,168,068
Factor Arrows
289,084,034
Factor Arrows
244,542,017
Factor Arrows
314,847,339
Factor Arrows
34,949,113
Factor Arrows
13380,701
Factor Arrows
616,241
Factor Arrows
7979

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 13, 61, 79

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 13 x 61 x 79 x 79 = 356,336,136

This can also be written as 23 x 32 x 131 x 611 x 792 = 356,336,136

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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